Circle Geometry Grade 11 Theorems

Line ABC represents:

• Chord

• Tangent

• Radius

• Diameter

Tags

CCSS.HSG.C.A.2

Line JK represents:

• Chord

• Tangent

• Diameter

• Radius

Line FG represents

• Tangent

• Radius

• Chord

• Diameter

Theorem statement

• Line perpendicular to chord

• Perpendicular bisector of chord

• Line from centre perpendicular to chord

• Line thru centre and midpoint

Tags

CCSS.HSG.C.A.2

AC = __ units

• 8

• 16

• 12

• 20

Tags

CCSS.HSG.C.A.2

Theorem Statement:

• Angle at centre = 2x angle at circumference

• Angle at centre = 2x angle at arc

• Angle at centre = angle at circumference

• Angle at centre = angle at arc

Tags

CCSS.HSG.C.A.2

x =

• 62

• 31

• 124

• 180 - 62

Tags

CCSS.HSG.C.A.2

y =

• 23

• 46

• 180 - 23

• 11,5

Tags

CCSS.HSG.C.A.2

x =

• 30

• 90

• 60

Tags

CCSS.HSG.C.A.2

Theorem Statement:

• Equal angle equal chords

• Angles in same segment

• Angles in same circle are equal

• Angles in same segment of circle are equal

Tags

CCSS.HSG.C.A.2